Results 61 to 70 of about 3,290 (179)

A new fractional analytical approach via a modified Riemann–Liouville derivative

, 2012
This work suggests a new analytical technique called the fractional homotopy perturbation method (FHPM) for solving fractional differential equations of any fractional order.
Khan, Yasir, Faraz, Naeem, Wu, Qingbiao, M. Madani, Madani, M., Naeem Faraz, Yildirim, A., Yasir Khan, Qingbiao Wu, A. Yildirim   +9 more
core   +1 more source

New Approach to Weighted Newton‐Type Inequalities Using Riemann–Liouville Fractional Integrals

Mathematical Methods in the Applied Sciences, Volume 49, Issue 10, Page 11186-11204, 15 July 2026.
ABSTRACT In this investigation paper, we present some weighted inequalities Newton‐type for various classes of functions utilizing Riemann–Liouville fractional integrals. The study begins by introducing a positive weighted function to derive a key integral equality essential for proving the main results.
Rubayyi T. Alqahtani, Hüseyin Budak
wiley   +1 more source

Riemann–Liouville Fractional Sobolev and Bounded Variation Spaces [PDF]

, 2022
We establish some properties of the bilateral Riemann–Liouville fractional derivative Ds. We set the notation, and study the associated Sobolev spaces of fractional order s, denoted by Ws,1(a,b), and the fractional bounded variation spaces of fractional ...
Antonio Leaci, Leaci, Antonio, Tomarelli, Franco, Franco Tomarelli   +3 more
core   +1 more source

Vibrations of a Simply Supported Beam with a Fractional Viscoelastic Material Model – Supports Movement Excitation

Shock and Vibration, 2013
The paper presents vibration analysis of a simply supported beam with a fractional order viscoelastic material model. The Bernoulli-Euler beam model is considered. The beam is excited by the supports movement.
Jan Freundlich
doaj   +1 more source

Dispersive wave solutions of the nonlinear fractional Zakhorov-Kuznetsov-Benjamin-Bona-Mahony equation and fractional symmetric regularized long wave equation

Results in Physics, 2019
In this paper, we obtain several novelty solutions by applying the improved F-expansion method to solve the space–time fractional Zakhorov Kuznetsov Benjamin Bona Mahony (ZKBBM) equation and the space–time fractional symmetric regularized long wave (SRLW)
David Yaro, Aly R. Seadawy, Dianchen Lu, Wilson Osafo Apeanti, Saviour Worlanyo Akuamoah   +4 more
doaj   +1 more source

Creep properties and constitutive model of diabase in deep water conveyance tunnels

Deep Underground Science and Engineering, Volume 5, Issue 2, Page 386-395, June 2026.
The axial and lateral creep characteristics of diabase were analyzed based on compression creep tests. The nonlinear viscoelastic‐plastic model capable of describing the whole creep process was established based on the fractional derivative and damage theories.
Zhigang Tao, Pengxiao Guan, Xiaojie Yang, Keyuan Liu, Mingjiu Cai, Hong Yang   +5 more
wiley   +1 more source

On the solutions of nonlinear fractional Klein-Gordon equation with modified Riemann-Liouville derivative

, 2014
In this paper, fractional variational iteration method (FVIM) is applied for finding approximate analytical solutions of nonlinear fractional Klein-Gordon equation. Time-fractional derivative is described in the Riemann-Liouville sense. A new application
Merdan, Mehmet
core   +1 more source

Solutions to Riemann–Liouville fractional integrodifferential equations via fractional resolvents

Advances in Difference Equations, 2019
This paper is concerned with the semilinear fractional integrodifferential system with Riemann–Liouville fractional derivative. Firstly, we introduce the suitable C1−α $C_{1-\alpha }$-solution to Riemann–Liouville fractional integrodifferential equations
Shaochun Ji, Dandan Yang
doaj   +1 more source

Robust Control Using a Matrix Converter to Enhance Wind Turbine Systems

Energy Science &Engineering, Volume 14, Issue 6, Page 2785-2815, June 2026.
This study uses a more efficient and effective solution to improve the operational performance of a wind turbine‐based power system. This system uses a doubly fed induction generator and relies on a matrix converter and fractional‐order proportional–integral controller.
Sihem Ghoudelbourk, Habib Benbouhenni, Adil Yahdou, Zakaria Mohamed Salem Elbarary, Nicu Bizon   +4 more
wiley   +1 more source

Numerical Discretization of Riemann–Liouville Fractional Derivatives with Strictly Positive Eigenvalues

AppliedMath
This paper investigates a unique and stable numerical approximation of the Riemann–Liouville Fractional Derivative. We utilize diagonal norm finite difference-based time integration methods within the summation-by-parts framework.
Sam Motsoka Rametse, Rhameez Sheldon Herbst   +1 more
doaj   +1 more source